Number Lines

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Whole is unit interval, from 0 to 1.
Number line is like an infinite ruler.
Helps students realize that fractions are numbers.
Double number line can help them recognize equivalence.
Needs to be used more.
Students need lots of time just working with fractions as numbers before computing with them.

Article - 'Fraction Phobia': The Root of Math Anxiety has an excellent video that explains how the number line model is used in fraction instruction.

Number Lines in K-5

  • 2.MD.3
  • 3.NF.2
  • 3.NF.3
  • 4.NF.1

Number Lines in 6-8

6th Grade
  • Integers - 6.NS.5
  • Rational Numbers - 6.NS.6, 6.NS.7
  • Coordinate Plane - 6.NS.8, 6.G.3
  • Double Number Lines - 6.RP.3
  • Statistics - 6.SP.4

7th Grade
  • Integers - 7.NS.1, 7.NS.2, 7.NS.3
  • Graphing Proportional Relationships - 7.RP.2, 7.RP.3
  • Geometry - 7.G.1, 7.G.2

8th Grade
  • Irrational numbers - 8.NS.1, 8.NS.2
  • Graphing equations and functions - 8.EE.5, 8.EE.6, 8.EE.8, 8.F.2, 8.F.3, 8.F.4, 8.F.5
  • Transformations - 8.G.1, 8.G.2, 8.G.3, 8.G.4
  • Statistical graphs - 8.SP.1, 8.SP, 2, 8.SP.3

F.U.N. Number Line